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Multi-objective Cultured Differential Evolution for Generating Optimal Trade-offs in Reservoir Flood Control Operation

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  • Hui Qin
  • Jianzhong Zhou
  • Youlin Lu
  • Yinghai Li
  • Yongchuan Zhang

Abstract

Reservoir flood control operation (RFCO) is a complex problem because it needs to consider multiple objectives and a large number of constraints. Traditional methods usually convert multiple objectives into a single objective to solve, using weighted methods or constrained methods. In this paper, a new approach named multi-objective cultured differential evolution (MOCDE) is proposed to deal with RFCO. MOCDE takes cultural algorithm as its framework and adopts differential evolution (DE) in its population space. Considering the features of DE and multi-objective optimization, three knowledge structures are defined in belief space to improve the searching efficiency of MOCDE. MOCDE is first tested on several benchmark problems and compared with some well known multi-objective optimization algorithms. On achieving satisfactory performance for test problems, MOCDE is applied to a case study of RFCO. It is found that MOCDE provides decision makers many alternative non-dominated schemes with uniform coverage and convergence to true Pareto optimal solutions in a short time. The results obtained show that MOCDE can be a viable alternative for generating optimal trade-offs in reservoir multi-objective flood control operation. Copyright Springer Science+Business Media B.V. 2010

Suggested Citation

  • Hui Qin & Jianzhong Zhou & Youlin Lu & Yinghai Li & Yongchuan Zhang, 2010. "Multi-objective Cultured Differential Evolution for Generating Optimal Trade-offs in Reservoir Flood Control Operation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(11), pages 2611-2632, September.
    • Handle: RePEc:spr:waterr:v:24:y:2010:i:11:p:2611-2632
    DOI: 10.1007/s11269-009-9570-7
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    References listed on IDEAS

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    2. Shuo Ouyang & Jianzhong Zhou & Chunlong Li & Xiang Liao & Hao Wang, 2015. "Optimal Design for Flood Limit Water Level of Cascade Reservoirs," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(2), pages 445-457, January.
    3. R. Arunkumar & V. Jothiprakash, 2013. "Chaotic Evolutionary Algorithms for Multi-Reservoir Optimization," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(15), pages 5207-5222, December.
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    7. Dandan Zhang & Juqin Shen & Pengfei Liu & Qian Zhang & Fuhua Sun, 2020. "Use of Fuzzy Analytic Hierarchy Process and Environmental Gini Coefficient for Allocation of Regional Flood Drainage Rights," IJERPH, MDPI, vol. 17(6), pages 1-23, March.
    8. Zhou, Jianzhong & Zhang, Yongchuan & Zhang, Rui & Ouyang, Shuo & Wang, Xuemin & Liao, Xiang, 2015. "Integrated optimization of hydroelectric energy in the upper and middle Yangtze River," Renewable and Sustainable Energy Reviews, Elsevier, vol. 45(C), pages 481-512.
    9. Qingqing Li & Shuo Ouyang, 2015. "Research on multi-objective joint optimal flood control model for cascade reservoirs in river basin system," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 77(3), pages 2097-2115, July.
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    11. Xiang Yu & Hui Sun & Hui Wang & Zuhan Liu & Jia Zhao & Tianhui Zhou & Hui Qin, 2016. "Multi-Objective Sustainable Operation of the Three Gorges Cascaded Hydropower System Using Multi-Swarm Comprehensive Learning Particle Swarm Optimization," Energies, MDPI, vol. 9(6), pages 1-18, June.
    12. Dandan Zhang & Juqin Shen & Pengfei Liu & Fuhua Sun, 2020. "Allocation of Flood Drainage Rights Based on the PSR Model and Pythagoras Fuzzy TOPSIS Method," IJERPH, MDPI, vol. 17(16), pages 1-19, August.
    13. Jianzhong Zhou & Shuo Ouyang & Xuemin Wang & Lei Ye & Hao Wang, 2014. "Multi-Objective Parameter Calibration and Multi-Attribute Decision-Making: An Application to Conceptual Hydrological Model Calibration," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(3), pages 767-783, February.
    14. V. Jothiprakash & R. Arunkumar, 2013. "Optimization of Hydropower Reservoir Using Evolutionary Algorithms Coupled with Chaos," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(7), pages 1963-1979, May.
    15. Xiangtao Li & Huawen Liu & Minghao Yin, 2013. "Differential Evolution for Prediction of Longitudinal Dispersion Coefficients in Natural Streams," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(15), pages 5245-5260, December.
    16. Rui Yang & Yutao Qi & Jiaojiao Lei & Xiaoliang Ma & Haibin Zhang, 2022. "A Parallel Multi-objective Optimization Algorithm Based on Coarse-to-Fine Decomposition for Real-time Large-scale Reservoir Flood Control Operation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(9), pages 3207-3219, July.
    17. Morteza Zargar & Hossein M. V. Samani & Ali Haghighi, 2016. "Optimization of gated spillways operation for flood risk management in multi-reservoir systems," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 82(1), pages 299-320, May.
    18. Wenzhuo Wang & Benyou Jia & Slobodan P. Simonovic & Shiqiang Wu & Ziwu Fan & Li Ren, 2021. "Comparison of Representative Heuristic Algorithms for Multi-Objective Reservoir Optimal Operation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(9), pages 2741-2762, July.
    19. Gift Dumedah, 2012. "Formulation of the Evolutionary-Based Data Assimilation, and its Implementation in Hydrological Forecasting," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(13), pages 3853-3870, October.
    20. Yongqi Liu & Hui Qin & Li Mo & Yongqiang Wang & Duan Chen & Shusen Pang & Xingli Yin, 2019. "Hierarchical Flood Operation Rules Optimization Using Multi-Objective Cultured Evolutionary Algorithm Based on Decomposition," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(1), pages 337-354, January.

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